5 problems

Eisenstein quotient conjecture. The map $\widetilde{\varpi}_{G'}$ factors through the Eisenstein ideal, and $\varpi_{G'}$ induces an isomorphism

Let $\widetilde{\varpi}:H_1(X_1(N),C_{\infty},\mathbf Z_p)_+\to\mathcal K$ be the cyclotomic map, and let $\mathfrak I_{\infty}$ be the Eisenstein ideal acting on the source. Shari…

Let $N$ be the prime level and $p$ a prime with $p\nmid N$. Let $H_+$ be the plus part of the modular-symbol homology group, let $I$ be the Eisenstein ideal acting on $H_+$, let…

Let $L$ be the set of supersingular lambda invariants, let $M'$ be the free module generated by the symbols $[\lambda]$ for $\lambda\in L$, and let $e_0^0$ and $e_0^1$ be the eleme…

Rank–order conjecture. The following are equivalent: